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For a balanced counter flow heat exchanger (i.e. mh ch = mc cc), NTU is equal to 1.0. What is the effectiveness of the heat exchanger?
  • a)
    0.5
  • b)
    1.5
  • c)
    0.33
  • d)
    0.2
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
For a balanced counter flow heat exchanger (i.e. mh ch = mc cc), NTU ...
For a balanced counter flow heat exchanger effectiveness is given as
ε = NTU/1+NTU = 1/1+1
⇒ ε = 1/2
⇒ ε = 0.5
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Community Answer
For a balanced counter flow heat exchanger (i.e. mh ch = mc cc), NTU ...
Solution:

Given, mh ch = mc cc and NTU = 1.0

We know that the effectiveness of the heat exchanger is given by the equation:

ε = (1 - e^-NTU)/(1 - (mc/mh)e^-NTU)

Substituting NTU = 1.0 and (mc/mh) = (cc/ch), we get:

ε = (1 - e^-1)/(1 - (cc/ch)e^-1)

Simplifying further, we get:

ε = (1 - 1/e)/(1 - (cc/ch)/e)

ε = (e - 1)/(e - (cc/ch))

ε = (2.718 - 1)/(2.718 - (cc/ch))

ε = 0.632/(2.718 - (cc/ch))

Since mh ch = mc cc, we can write cc/ch = mh/mc

Substituting this, we get:

ε = 0.632/(2.718 - (mh/mc))

Since mh ch = mc cc, we can write mh/mc = cc/ch = 1

Substituting this, we get:

ε = 0.632/(2.718 - 1)

ε = 0.5

Therefore, the effectiveness of the heat exchanger is 0.5.

Answer: (a) 0.5
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For a balanced counter flow heat exchanger (i.e. mh ch = mc cc), NTU is equal to 1.0. What is the effectiveness of the heat exchanger?a) 0.5b) 1.5c) 0.33d) 0.2Correct answer is option 'A'. Can you explain this answer? for Chemical Engineering 2025 is part of Chemical Engineering preparation. The Question and answers have been prepared according to the Chemical Engineering exam syllabus. Information about For a balanced counter flow heat exchanger (i.e. mh ch = mc cc), NTU is equal to 1.0. What is the effectiveness of the heat exchanger?a) 0.5b) 1.5c) 0.33d) 0.2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Chemical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a balanced counter flow heat exchanger (i.e. mh ch = mc cc), NTU is equal to 1.0. What is the effectiveness of the heat exchanger?a) 0.5b) 1.5c) 0.33d) 0.2Correct answer is option 'A'. Can you explain this answer?.
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